Stability of functional equations of Drygas in the space of Schwartz distributions |
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Authors: | Linsong Li Dohan Kim |
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Affiliation: | a Department of Mathematics, Yanbian University, YianJi 133002, China b Department of Mathematics, Seoul National University, Seoul 151-747, South Korea c Department of Mathematics, Kunsan National University, Kunsan 573-701, South Korea |
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Abstract: | In this paper we reformulate and prove the stability theorems of S.M. Jung and P.K. Sahoo [S.M. Jung, P.K. Sahoo, Stability of a functional equation of Drygas, Aequationes Math. 64 (2002) 263-273] in the spaces of generalized functions such as the Schwartz distributions and tempered distributions. |
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Keywords: | Gauss transforms Heat kernel Distributions Functional equation Stability |
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